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Title: | On One Inequality of Different Metrics for Trigonometric Polynomials |
Authors: | Arestov, V. V. Deikalova, M. V. |
Issue Date: | 2022 |
Publisher: | N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences Ural Federal University named after the first President of Russia B.N. Yeltsin |
Citation: | Arestov V. V. On One Inequality of Different Metrics for Trigonometric Polynomials / V. V. Arestov, M. V. Deikalova. — Text : electronic // Ural Mathematical Journal. — 2022. — Volume 8. — № 1. — P. 27-45. |
Abstract: | We study the sharp inequality between the uniform norm and Lp(0,π∕2)-norm of polynomials in the system = {cos(2k + 1)x}k=0∞ of cosines with odd harmonics. We investigate the limit behavior of the best constant in this inequality with respect to the order n of polynomials as n → ∞ and provide a characterization of the extremal polynomial in the inequality for a fixed order of polynomials. |
Keywords: | TRIGONOMETRIC COSINE POLYNOMIAL IN ODD HARMONICS NIKOL'SKII DIFFERENT METRICS INEQUALITY |
URI: | http://elar.urfu.ru/handle/10995/122269 |
Access: | Creative Commons Attribution License |
License text: | https://creativecommons.org/licenses/by/4.0/ |
RSCI ID: | 50043140 |
ISSN: | 2414-3952 |
DOI: | 10.15826/umj.2022.2.003 |
Origin: | Ural Mathematical Journal. 2022. Volume 8. № 2 |
Appears in Collections: | Ural Mathematical Journal |
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